On 10 June your 2010 zone time DR position is LAT 41°10.0' N, LONG 61°15.0' W. At that time, you observe Polaris with a sextant altitude (hs) of 40°35.8'. The chronometer time of the sight is 00h 08m 18s, and the chronometer error is 01m 54s slow. The index error is 2.0' on the arc, and the height of eye is 40 feet. What is your latitude by Polaris?

Correct Answer: Option C — 41°15.0'N

Polaris latitude is derived by correcting the observed altitude for index error, dip, and refraction, then applying the 'a' values from the Nautical Almanac. Adjusting the corrected altitude (Ho) with the Polaris correction table based on LHA Aries yields a latitude of 41°15.0'N, following standard Bowditch celestial procedures.